Analysis of solutions and disease progressions for a within-host Tuberculosis model

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2020-03-07 DOI:10.5206/mase/10221
Wenjing Zhang, Federico Frascoli, J. Heffernan
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引用次数: 7

Abstract

Mycobacterium tuberculosis infection can lead to different disease outcomes, we analyze awith-in host tuberculosis infection model considering interactions between macrophages, T lym-phocytes, and tuberculosis bacteria to understand the dynamics of disease progression. Fourcoexisting equilibria that reflect TB disease dynamics are present: clearance, latency, and pri-mary disease, with low and high pathogen loads. We also derive the conditions for backwardand forward bifurcations and for global stable disease free equilibrium, which affect how thedisease progresses. Numerical bifurcation analysis and simulations elucidate the dynamics offast and slow disease progression.
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宿主内结核病模型的解决方案和疾病进展分析
结核分枝杆菌感染可导致不同的疾病结果,我们分析了考虑巨噬细胞、T淋巴细胞和结核细菌之间相互作用的宿主内结核感染模型,以了解疾病进展的动力学。反映结核病动态的四种共存平衡存在:清除率、潜伏期和原发性疾病,病原体载量低和高。我们还推导了前后分叉和全局稳定无疾病平衡的条件,这些条件影响疾病的进展。数值分叉分析和模拟阐明了疾病进展最快和最慢的动力学过程。
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来源期刊
CiteScore
1.40
自引率
0.00%
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0
审稿时长
21 weeks
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